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Finding the Fourth Proportional to 13,094.96, 18,070.76 and 7,126.48

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Solution

The fourth proportional to 13,094.96, 18,070.76 and 7,126.48 is: 9,834.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,094.96 : 18,070.76 = 7,126.48 : x
  2. Step 2: Convert to fraction form
    13,094.96/18,070.76 = 7,126.48/x
  3. Step 3: Cross multiply
    13,094.96x = 18,070.76 × 7,126.48
  4. Step 4: Simplify right side
    13,094.96x = 128,780,909.72
  5. Step 5: Solve for x
    x = 128,780,909.72/13,094.96
  6. Step 6: Final answer
    x = 9,834.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.